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Finding the Fourth Proportional to 164,801.20, 247,201.80 and 111,657.10

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Solution

The fourth proportional to 164,801.20, 247,201.80 and 111,657.10 is: 167,485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,801.20 : 247,201.80 = 111,657.10 : x
  2. Step 2: Convert to fraction form
    164,801.20/247,201.80 = 111,657.10/x
  3. Step 3: Cross multiply
    164,801.20x = 247,201.80 × 111,657.10
  4. Step 4: Simplify right side
    164,801.20x = 27,601,836,102.78
  5. Step 5: Solve for x
    x = 27,601,836,102.78/164,801.20
  6. Step 6: Final answer
    x = 167,485.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.